In a set of four integers, the average of the two smallest integers is $102$, the average of the three smallest integers is $103$, the average of all four is $104$. Which is the greatest of these integers?

Find the mode of the following data:

$5, 6, 3, 5, 4, 9, 5, 6, 4, 9, 5$

Find the modes of the following data:

$25,14,18,15,17,16,19,13,12,24$

Find the modes of the following data:

$10,15,20,15,20,10,15,20,10$

Long jumps by $7$ students of a team are $98 \mathrm{cm}, 125 \mathrm{cm}, 140 \mathrm{cm}, 155 \mathrm{cm}, 174 \mathrm{cm}, 140 \mathrm{cm}$ and $155 \mathrm{cm}$. Find the mode of the data.

Ages of players in a cricket team are $25,26,25,27,28,30,31,27,33,27,29$.
Find the minimum number of players to be added to the above team so that mode of the data changes and what must be their ages.

Find the mode of $12,24,36,46,25,38,72,36,25,38,12,24,46,25,12,24,46,25,72,12,24,36,25,38$ and $36$.

Decide whether mean or mode is a better representative value in the following situation.

A shopkeeper, who sells toothpaste tubes of different sizes, wants to decide which size is to be ordered more.